Different energy dispersive detectors are available for spectroscopic
measurements of X-ray spectra, such as proportional
counters (PC), PIN-diodes and silicon drift detectors
(SDD). The physical principles of these detectors are very
different. A PC uses a mixture of a noble gas with a quench
gas that is ionized by an incident radiation. The electrons
are accelerated in the electric field and can ionize other gas
atoms resulting in an internal amplification. In this case the
energy for generation of the primary signal is relatively high. |
|
 |
|
|
In solid state detectors (PIN, SDD), the incident radiation
generates charge carriers which are collected by an electrical
field. The energy to generate the primary signal is
significantly lower than for a PC, i.e. a higher number of
primary charge carriers can be generated. This reduces the
statistical error and improves the energy resolution. |
|
This report studies the analysis performance of the M1
MISTRAL when equipped with a PC or an SDD and compares
it with theoretical values of a PIN-diode. |
|
Instrumentation |
All measurements were performed using the M1 MISTRAL
spectrometer equipped either with a large area proportional
counter or with a high resolution silicon drift detector
(Bruker‘s XFlash® 5030) . The M1 MISTRAL features following
technical parameters: |
|
| Excitation |
W-tube (max. 40 kV, 40 W)
glass side window |
| Dimensions |
size (WxDxH): 450x550x420 mm, 46 kg |
| Prop-counter |
1100 mm2 sensitive area
900 eV energy resolution (Mn Ka) |
| SDD |
XFlash® 5030 silicon drift detector
30 mm2 sensitive area
< 150 eV energy resolution
up to 200,000 cps input count rate |
|
|
Analysis |
|
Energy resolution |
The energy resolution of a PC for Mn-Ka radiation is on the
order of 900 eV, for PIN-diodes about 190 eV and for an
SDD even less than 150 eV. |
|
The better energy resolution of solid state detectors offers
following advantages: |
|
 |
better peak-to-background ratio and therefore higher sensitivity for analysis of traces or of thin layers |
|
 |
higher flexibility for analysis of unknown samples, in
particular for a more detailed qualitative analysis, since
overlapping problems are reduced. |
|
|
Below image shows the acquired spectra of a jewelry alloy
sample comprised primarily of Au and with contributions of
Ag, Cd, Cu and Zn, measured with a PC and an SDD. The
difference in energy resoultion is demonstrated by the fact
that the PC‘s spectrum does not show the contribution of
Zn and that a separation of Ag and Cd is not possible. |
|
 |
|
Spectra measured with PC (blue) and SDD (red) of a jewelry alloy (concentrations approx. Au: 80%,
Ag: 5 %, Cd: 5 %, Zn: 6%) |
|
The limits of detection are also different in both cases. For
a spectrometer with a PC, they are on the order of 0.5 %,
whereas for a SDD the limit improves to around 0.01 %, i.e.
by a factor of 50. |
|
Sensitive area |
The energy resolution of a spectrometer is determined
by the detector and the electronics. The electronic noise
depends mainly on the detector capacity. Therefore, detectors
with better energy resolution need to be smaller, which
results in a smaller sensitive area and poorer radiation collection.
On the other hand, due to the smaller dimensions,
the solid state detectors can be positioned closer to the
sample. This compensates partly for the smaller sensitive
area. |
|
To get comparable count rates, the collimator size can be
adjusted. In a PC, the spot size goes down to 0.3 mm or
even smaller, but for PIN or SDD it should not be smaller
than 0.5 mm. |
Count rate capability |
The PIN-diode and the SDD feature very different count rate
capabilities. At similar input count rates, the SDD delivers
a significantly higher amount of net counts (see table 1).
The detectors‘ dead times for an input count rate of approx.
8 kcps are also shown in table 1. The dead time is relatively
high in the case of PIN-diodes, whereas it is typically very
small for SDD. |
|
Comparison of detector properties |
| Detector |
PC |
PIN |
SDD |
| Sensitive area / mm2 |
1100 |
25 |
30 |
| Captured angle / sr |
0.427 |
0.0229 |
0.033 |
| Dead time for 8 kcps |
11 % |
46 % |
1 % |
| Net counts for approx.
8 kcps input count rate |
7100 |
4200 |
7900 |
| Max. count rate [kcps] |
10 50* |
10 |
200 |
|
|
Regarding prop-counters, peak shifts can occur due to high
charge concentration close to the counting wire in cases of
detection of high count rates or high energetic X-rays. The
low charge carrier mobility influences the collection time
and enhances the dead time. |
|
The M1 spectrometer has a special stabilization system for
the PC that allows count rates up to 50 kcps. |
|
Stability |
The stability of the detectors used in the M1 MISTRAL is
similar due to Bruker‘s good stabilization electronics. Both
short and long term stability are mainly determined by the
counting statistics, what results in better stability at higher
count rates. |
|
The below image, which illustrates a long term
repeated measurement with an SDD. The sample was
measured several times over a period of approx. 120 hours
for 60 s each time. It can be seen that the measured intensity
is statistically distributed. |
|
 |
|
Diagram showing the normalized intensity over the time. |
|
The behaviour of a PC is very similar, although the statistical
error is even smaller due to the larger sensitive area. The
calculated standard deviations for both measurements are
shown in table 2. These results lead to the following statements: |
|
 |
The larger sensitive area of the PC allows higher count
rates and smaller statistical error. |
|
 |
The comparison between measured standard deviation
and statistical error is negligible, which shows that the
stability is mainly determined by the counting statistics. |
|
|
Results of repeated measurements |
| Detector |
PD |
SDD |
| Mean intensity |
522039.3 |
100810.2 |
| Rel. Std-dev |
0.143 % |
0.295 % |
| Stat. error |
0.138 % |
0.314 % |
|
|
Accuracy |
The accuracy of analysis depends mainly on the intensity
error. This error is determined by the collected intensity i.e.
by the statistical error, by the error for the peak fitting procedure
and by the spectrometer stability. |
|
The PC‘s statistical error is smaller. On the other hand, the
error resulting from peak fitting is smaller in case of less
overlapping. In this case, the system is also more robust
against small peak shifts. |
|
Accuracy determination results |
| Detector |
PD |
SDD |
| R-square from fitting |
0.999893 |
0.999827 |
| Average deviation |
0.137 % |
0.122 % |
|
|
 |
|
Diagram showing the accuracy of a prop-counter and an SDD for a measurement time of 60 s. |
|
In order to test the accuracy, around 80 jewelry reference
samples were measured with both type of detectors. The
concentration of Au varied from approx. 35 % to 100 %.
Figure 3 shows the deviation from the given value for these
measurements. The results are summerized in table 3. This
shows that the disadvantegeous counting statistics of the
SDD is compensated by a smaller error in peak deconvolution. |
|
Investment |
The investment costs are different for every type of detector.
PIN-diodes are more expensive than PC by a factor of
3 - 5. An SDD equipment is in turn the high end solution. |
|
Conclusions |
The detector election should be based on the type of
analytical task the user is usually confronted with. For the
analysis of unknown samples with flexible qualitative composition
and for the detection of small concentrations, solid
state detectors are the best choice. However, prop-counters
are well suited for quality control with known qualitative
composition. |
|
Both detector types are very similar in terms of accuracy.
The smaller statistical error of the PC is compensated by
the SDD‘s fewer overlapping errors. The detectors‘ performance
regarding stability is also alike. |
|